Question

1. A scientist is growing cell cultures and examining the effects of various substances on them as part of his research. The culture in one petri dish increases according to the expression +47 + 4 for timet in minutes. Another increases according to 12 + 2t+4. He needs to feed all the cells equally, so he needs to know the expression for the total number of cells in both dishes because the food is proportional to the total number of cells. Find the expression.​

Answer 1

The expression representing the total number of cells in both petri dishes as a function of time is 63 + 6t, where t is the time in minutes.

Step-by-step explanation:

The student is looking for an expression that represents the total number of cells in both petri dishes over time, given as a function of time t in minutes. The first dish has an increase described by the expression 47 + 4t, and the second dish has an increase described by 12 + 2t + 4. To find the total, these two expressions should be added together.

Adding the two expressions, we get:
(47 + 4t) + (12 + 2t + 4). Simplifying this, we combine like terms:
47 + 12 + 4 + 4t + 2t,
which results in:
63 + 6t. Therefore, the expression for the total number of cells in both dishes is 63 + 6t.

Answer 2

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